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Simplifying 2c2 = -3c Solving 2c2 = -3c Solving for variable 'c'. Reorder the terms: 3c + 2c2 = -3c + 3c Combine like terms: -3c + 3c = 0 3c + 2c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(3 + 2c) = 0Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(3 + 2c)' equal to zero and attempt to solve: Simplifying 3 + 2c = 0 Solving 3 + 2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2c = 0 + -3 2c = 0 + -3 Combine like terms: 0 + -3 = -3 2c = -3 Divide each side by '2'. c = -1.5 Simplifying c = -1.5Solution
c = {0, -1.5}
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